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Finding the Fourth Proportional to 13,146, 18,141.24 and 7,841.04

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Solution

The fourth proportional to 13,146, 18,141.24 and 7,841.04 is: 10,820.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146 : 18,141.24 = 7,841.04 : x
  2. Step 2: Convert to fraction form
    13,146/18,141.24 = 7,841.04/x
  3. Step 3: Cross multiply
    13,146x = 18,141.24 × 7,841.04
  4. Step 4: Simplify right side
    13,146x = 142,246,188.49
  5. Step 5: Solve for x
    x = 142,246,188.49/13,146
  6. Step 6: Final answer
    x = 10,820.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.